290803968 has 432 divisors, whose sum is σ = 1101143680. Its totient is φ = 71663616.

The previous prime is 290803943. The next prime is 290803991. The reversal of 290803968 is 869308092.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983580 + ... + 3983652.

Almost surely, 2^290803968 is an apocalyptic number.

290803968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550571840).

290803968 is an abundant number, since it is smaller than the sum of its proper divisors (810339712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290803968 is a wasteful number, since it uses less digits than its factorization.

290803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 290803968 is about 17052.9753415643. The cubic root of 290803968 is about 662.5217027660.

The spelling of 290803968 in words is "two hundred ninety million, eight hundred three thousand, nine hundred sixty-eight".